GCF of 3197/685, 9803/3029
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3197/685, 9803/3029 i.e 1/2074865 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3197/685, 9803/3029.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 3197/685,9803/3029?
Given fractions are 3197/685,9803/3029
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 3197/685,9803/3029, numerators are 3197,9803
Denominators are 685,3029
The GCF of 3197,9803 is 1 .
LCM of 685,3029 is 2074865.
The greatest common factor of 3197/685,9803/3029 = [GCF of 3197,9803]/[LCM of 685,3029]= 1/2074865
Therefore, the GCF of 3197/685,9803/3029 is 1/2074865.
To find the highest common factor of 3197,9803, we have to find the factors of both numbers and list the highest common factor.
The factors of 3197 are 1, 23, 139, 3197
The factors of 9803 are 1, 9803
The HCF of 3197,9803 is 1.
Lets's calculate GCF of 3197,9803
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3197,9803 By Matching Biggest Common Factor Method
Now, list down the factors of 3197
:1,23,139,3197
Now, list down the factors of 9803
:1,9803
Greatest Common Factor
We found the factors 3197,9803 . The biggest common factor number is the GCF number.
So the greatest common factor 3197,9803 is 1.
Lets's calculate LCM of 685,3029
Given numbers has no common factors except 1. So, there LCM is their product i.e 2074865
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2074865
Therefore, the GCF of Fractions 3197/685,9803/3029 is 1/2074865
Least Common Multiple of 685,3029 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 685,3029 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(685,3029) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(685,3029) x common factors =1 x 1 = 1
LCM(685,3029) = ( 685 × 3029 ) / 1
LCM(685,3029) = 2074865 / 1
LCM(685,3029) = 2074865
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FAQs on GCF of Fractions of 3197/685, 9803/3029
1. What is the HCF of 3197,9803?
The HCF of 3197,9803 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 3197/685, 9803/3029?
Answer: GCF of Numerators as per given numbers 3197/685, 9803/3029 is
GCF of Numerators i.e. for 3197,9803 is 1
LCM of denominators i.e. for 685,3029 is 2074865.
Thus, GCF of Fractions is 1/2074865.Finally, GCF of Fractions for 3197/685, 9803/3029 is 1/2074865.